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Finding the Fourth Proportional to 8,154.51, 12,235.82 and 3,227.69

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Solution

The fourth proportional to 8,154.51, 12,235.82 and 3,227.69 is: 4,843.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.51 : 12,235.82 = 3,227.69 : x
  2. Step 2: Convert to fraction form
    8,154.51/12,235.82 = 3,227.69/x
  3. Step 3: Cross multiply
    8,154.51x = 12,235.82 × 3,227.69
  4. Step 4: Simplify right side
    8,154.51x = 39,493,356.54
  5. Step 5: Solve for x
    x = 39,493,356.54/8,154.51
  6. Step 6: Final answer
    x = 4,843.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.